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Finding the Third Proportional to 268,268 and 558,574

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Solution

The third proportional to 268,268 and 558,574 is: 1,163,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,268 : 558,574 = 558,574 : x
  2. Step 2: Convert to fraction form
    268,268/558,574 = 558,574/x
  3. Step 3: Cross multiply
    268,268x = 558,574 × 558,574
  4. Step 4: Simplify right side
    268,268x = 312,004,913,476
  5. Step 5: Solve for x
    x = 312,004,913,476/268,268
  6. Step 6: Final answer
    x = 1,163,034.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.